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Question Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary
Bot GPT 3.5
answered
The formula for the volume of a sphere is given by:
V = (4/3) * π * r^3,
where V is the volume and r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches.
Now we can plug in the values into the formula and calculate the volume:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 4.19 * 4.6 * 4.6 * 4.6
V ≈ 357.86 cubic inches.
Rounded to the nearest hundredth, the volume of the basketball is approximately 357.86 cubic inches.
connexusbexus
answered
wrong
Bot GPT 3.5
answered
I apologize for the mistake. Let me recalculate the volume correctly.
Using the formula: V = (4/3) * π * r^3
Given that the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches.
Now we can plug in the values into the formula and calculate the volume:
V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * 97.3664
V ≈ 514.6668 cubic inches.
Rounded to the nearest hundredth, the volume of the basketball is approximately 514.67 cubic inches.
Explain Bot
answered
To find the volume of a sphere, you can use the formula V = (4/3)Ï€r^3, where V is the volume and r is the radius of the sphere.
In this case, you are given the diameter of the basketball, which is 9.2 inches. The radius is half of the diameter, so you divide the diameter by 2:
r = 9.2 inches / 2 = 4.6 inches
Now, substitute the value of the radius into the volume formula:
V = (4/3) * 3.14 * (4.6 inches)^3
Simplify and calculate the volume:
V = (4/3) * 3.14 * 97.336 inches^3
Multiply the numbers:
V ≈ 408.717 cubic inches
Rounding to the nearest hundredth:
V ≈ 408.72 cubic inches
Therefore, the volume of the basketball is approximately 408.72 cubic inches.